Cédric Villani
Cédric Villani publishes mostly in Applied Mathematics, Statistical and Nonlinear Physics and Mathematical Physics, on topics such as Geometric Analysis and Curvature Flows, Gas Dynamics and Kinetic Theory and Advanced Thermodynamics and Statistical Mechanics.
- World rank
- #270,379 of 7,710,434 ranked researchers
- Rank in France
- #16,168 of 324,115
- Works
- 291
- Citations
- 23k
- Citations per work
- 79.5
What does Cédric Villani research?
Cédric Villani's work is mostly in Mathematics (34%), Computer Science (11%), Physics and Astronomy (6%).
Their six largest subfields, inside their fields and domains; the grey slice is everything else they publish. The interactive view splits every one of their works down to single topics.
The fields and subfields, with their numbers
- Physical Sciences15151.8%
- Mathematics10034.4%
- Computer Science3311.4%
- Physics and Astronomy176.0%
- Everything else14048.2%
- 1Applied Mathematics24% of their works
- 2Statistical and Nonlinear Physics6% of their works
- 3Mathematical Physics6% of their works
- 4Artificial Intelligence6% of their works
- 5Computational Theory and Mathematics6% of their works
- 6Geometry and Topology5% of their works
Research topics
- Geometric Analysis and Curvature Flows
- Gas Dynamics and Kinetic Theory
- Advanced Thermodynamics and Statistical Mechanics
- Point processes and geometric inequalities
- Nonlinear Partial Differential Equations
- Numerical methods in inverse problems
- Geometry and complex manifolds
- History and Theory of Mathematics
Which keywords describe Cédric Villani's research?
The keywords of their largest research topics: Numerical Methods, Optimal Transport, Ricci Curvature, Boltzmann Equation, Kinetic Theory, Fluctuation Theorems, Stochastic Thermodynamics and Point Processes.
- Historical Sources
- Kähler Metrics
- Inverse Problems
- Fractional Laplacian
- Point Processes
- Fluctuation Theorems
- Boltzmann Equation
- Optimal Transport
- Numerical Methods
- Ricci Curvature
- Kinetic Theory
- Stochastic Thermodynamics
- Spatstat
- Sobolev Spaces
- Regularization Methods
- Stability
- Mathematics Education
Size is their works in the topics tagged with each word, from their 8 largest topics. Each links to the topic it comes from most.
All 17 words, with their numbers
- Numerical Methods732 topics
- Optimal Transport551 topic
- Ricci Curvature551 topic
- Boltzmann Equation481 topic
- Kinetic Theory481 topic
- Fluctuation Theorems311 topic
- Stochastic Thermodynamics311 topic
- Point Processes291 topic
- Spatstat291 topic
- Fractional Laplacian271 topic
- Sobolev Spaces271 topic
- Inverse Problems251 topic
- Regularization Methods251 topic
- Kähler Metrics191 topic
- Stability191 topic
- Historical Sources121 topic
- Mathematics Education121 topic
Where does Cédric Villani work?
Cédric Villani's main affiliation in the publication record is École Normale Supérieure de Lyon, France.
How many publications and citations does Cédric Villani have?
OpenAlex counts 291 works and 23,138 citations for Cédric Villani, an h-index of 50, ranking #270,379 of 7,710,434 researchers worldwide on the quality score.
Ranked on field-normalised excellence (50%), output (30%) and citations (20%). Counts come from OpenAlex author records, which occasionally merge different people who share a name or split one person into several.
Papers, co-authors, who cited this work and researchers on the nearest topics have tabs of their own, above. Is this your page? Claim it with your ORCID iD, or request a correction or removal.
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